352994040 has 144 divisors (see below), whose sum is σ = 1334600280. Its totient is φ = 80680320.

The previous prime is 352994039. The next prime is 352994053. The reversal of 352994040 is 40499253.

352994040 is a `hidden beast` number, since 3 + 529 + 94 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352993986 and 352994004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7635 + ... + 27645.

Almost surely, 2^352994040 is an apocalyptic number.

352994040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352994040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667300140).

352994040 is an abundant number, since it is smaller than the sum of its proper divisors (981606240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352994040 is a wasteful number, since it uses less digits than its factorization.

352994040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20042 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 352994040 is about 18788.1356179904. The cubic root of 352994040 is about 706.7336839650.

The spelling of 352994040 in words is "three hundred fifty-two million, nine hundred ninety-four thousand, forty".